Base | Representation |
---|---|
bin | 100000100001101110001… |
… | …010110001001001000000 |
3 | 21220200112010001112121122 |
4 | 200201232022301021000 |
5 | 243110223203413100 |
6 | 4430503500211412 |
7 | 320330054436524 |
oct | 40415612611100 |
9 | 7820463045548 |
10 | 2235231310400 |
11 | 791a57890a40 |
12 | 301252539b68 |
13 | 132a209a4a7a |
14 | 7a285a8dd84 |
15 | 3d224473985 |
hex | 2086e2b1240 |
2235231310400 has 168 divisors, whose sum is σ = 6008292361344. Its totient is φ = 811697817600.
The previous prime is 2235231310381. The next prime is 2235231310421. The reversal of 2235231310400 is 40131325322.
It is a happy number.
It is a super-2 number, since 2×22352313104002 (a number of 25 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 2235231310400.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12814169 + ... + 12987431.
It is an arithmetic number, because the mean of its divisors is an integer number (35763645008).
Almost surely, 22235231310400 is an apocalyptic number.
2235231310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2235231310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004146180672).
2235231310400 is an abundant number, since it is smaller than the sum of its proper divisors (3773061050944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2235231310400 is a wasteful number, since it uses less digits than its factorization.
2235231310400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 174029 (or 174014 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 26.
Adding to 2235231310400 its reverse (40131325322), we get a palindrome (2275362635722).
The spelling of 2235231310400 in words is "two trillion, two hundred thirty-five billion, two hundred thirty-one million, three hundred ten thousand, four hundred".
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